laplace_latent_tol_bernoulli_logit_rng()

template<typename ThetaVec , typename Mean , typename CovarFun , typename CovarArgs , typename RNG , require_eigen_vector_t< ThetaVec > * = nullptr>

Eigen::VectorXd stan::math::laplace_latent_tol_bernoulli_logit_rng ( const std::vector< int > &  y, const std::vector< int > &  n_samples, Mean &&  mean, CovarFun &&  covariance_function, CovarArgs &&  covar_args, ThetaVec &&  theta_0, const double  tolerance, const int  max_num_steps, const int  hessian_block_size, const int  solver, const int  max_steps_line_search, RNG &  rng, std::ostream *  msgs  )

inline

In a latent gaussian model,.

theta ~ Normal(theta|0, Sigma(phi)) y ~ pi(y|theta)

return a multivariate normal random variate sampled from the gaussian approximation of p(theta | y, phi), where the likelihood is a Bernoulli with logit link.

Template Parameters

ThetaVec	A type inheriting from Eigen::EigenBase with dynamic sized rows and 1 column.
Mean	type of the mean of the latent normal distribution
CovarFun	A functor with an operator()(CovarArgsElements..., {TrainTupleElements...| PredTupleElements...}) method. The operator() method should accept as arguments the inner elements of CovarArgs. The return type of the operator() method should be a type inheriting from Eigen::EigenBase with dynamic sized rows and columns.
CovarArgs	A tuple of types to passed as the first arguments of CovarFun::operator()
RNG	A valid boost rng type

Parameters

[in]	y	Vector Vector of total number of trials with a positive outcome.
[in]	n_samples	Vector of number of trials.
[in]	mean	the mean of the latent normal variable.
[in]	covariance_function	a function which returns the prior covariance.
[in]	covar_args	arguments for the covariance function.
[in]	theta_0	the initial guess for the Laplace approximation.
[in]	tolerance	controls the convergence criterion when finding the mode in the Laplace approximation.
[in]	max_num_steps	maximum number of steps before the Newton solver breaks and returns an error.
[in]	hessian_block_size	Block size of Hessian of log likelihood w.r.t latent Gaussian variable theta.
[in]	solver	Type of Newton solver. Each corresponds to a distinct choice of B matrix (i.e. application SWM formula): 1. computes square-root of negative Hessian. 2. computes square-root of covariance matrix. 3. computes no square-root and uses LU decomposition.
[in]	max_steps_line_search	Number of steps after which the algorithm gives up on doing a line search. If 0, no linesearch.
[in,out]	rng	Random number generator
[in,out]	msgs	stream for messages from likelihood and covariance

Definition at line 36 of file laplace_latent_bernoulli_logit_rng.hpp.